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Finding the Third Proportional to 332,293.50 and 720,171

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Solution

The third proportional to 332,293.50 and 720,171 is: 1,560,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,293.50 : 720,171 = 720,171 : x
  2. Step 2: Convert to fraction form
    332,293.50/720,171 = 720,171/x
  3. Step 3: Cross multiply
    332,293.50x = 720,171 × 720,171
  4. Step 4: Simplify right side
    332,293.50x = 518,646,269,241
  5. Step 5: Solve for x
    x = 518,646,269,241/332,293.50
  6. Step 6: Final answer
    x = 1,560,807.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.